364299444 has 90 divisors (see below), whose sum is σ = 974956290. Its totient is φ = 118615968.

The previous prime is 364299433. The next prime is 364299449. The reversal of 364299444 is 444992463.

364299444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 346406544 + 17892900 = 18612^2 + 4230^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 364299444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364299449) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 715462 + ... + 715970.

Almost surely, 2^364299444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364299444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487478145).

364299444 is an abundant number, since it is smaller than the sum of its proper divisors (610656846).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

364299444 is a wasteful number, since it uses less digits than its factorization.

364299444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 561 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 364299444 is about 19086.6299801720. The cubic root of 364299444 is about 714.1994358493.

The spelling of 364299444 in words is "three hundred sixty-four million, two hundred ninety-nine thousand, four hundred forty-four".